Research On Group Consensus Of Multi-agent Systems

In recent years,as the speedy development of science and technology,the prospect of multi-agent systems(MAS)has appeared a preferable development trend.Consensus,as the most fundamental and important issue,has always been a hot issue in the field of control.Therefore,it is extremely important to study the consensus of MAS.The improvement of production technology level,the updating of various devices related to MAS is getting faster and faster.The state of the agents will not all reach the same state,the state of the same group of agents is the same,and the other group is another value,which leads to group consensus.Group consensus is an emerging topic,it has a wider scope of application.Therefore,it is particularly vital to study the group consensus of MAS.As far as the current research results are concerned,scholars still focus more on studying the consensus of MAS,so there are relatively few studies on the group consensus.In view of this,this article discusses the group consensus of the system on the basis of consensus.Aiming at the group consensus issues of the same-order systems with communication time-varying delay and the mixed-order heterogeneous MAS,according to the neighborhood distributed control,a group consensus control algorithm based on agents' neighbor information is formulated.This article divides it into four chapters to discuss,namely the third to sixth chapters.Through the control protocol,the group consensus issues of MAS can be transformed into the stability problem of the error system.Among them,in chapter 3,we constructed the corresponding Lyapunov functions based on the Lyapunov stability theory,and discussed the two groups' consensus of MAS via using the Lypunov-Razumikhin theorem.Chapter 4 used the same method on the basis of Chapter 3 to conduct a more in-depth study of multiple groups' consensus of MAS.Chapter 5 and Chapter 6 study the group consensus of heterogeneous MAS.Chapter 5 adopted Lyapunov second stability theory to study the two-group consensus of heterogeneous MAS.Chapter 6 considered the multiple groups' consensus problems of the systems on the basis of Chapter 5.In order to ensure the validity of the theoretical results,this paper adopted the Matlab to numerically simulate the theory results of MAS at the end of the third to sixth chapters,which verifies the results more intuitively.The obtained simulation results show that the MAS can achieve group consensus under the proposed control protocol.On the basis of the two groups,this paper extends the study results to multiple groups to better interpret the grouped consensus.